Results 41 to 50 of about 242,721 (361)
Compositions of singular integral operators
Journal of Functional Analysis, 1982 AbstractThe composition of two Calderón-Zygmund singular integral operators is given explicitly in terms of the kernels of the operators. For φ ϵ L1(Rn) and ε = 0 or 1 and ∝ φ = 0 if ε = 0, let Ker(φ) be the unique function on Rn + 1 homogeneous of degree −n − 1 of parity ε that equals φ on the hypersurface x0 = 1.
openaire +3 more sources
Weighted Endpoint Estimates for Commutators of Singular Integral Operators on Orlicz-Morrey Spaces
Journal of Function Spaces, 2019 In this paper, we obtain the weighted endpoint estimates for the commutators of the singular integral operators with the BMO functions and the associated maximal operators on Orlicz-Morrey Spaces.
Jinyun Qi, Hongxia Shi, Wenming Li
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Φ-Admissible Sublinear Singular Operators and Generalized Orlicz-Morrey Spaces
Journal of Function Spaces, 2014 We study the boundedness of Φ-admissible sublinear singular operators on Orlicz-Morrey spaces MΦ,φℝn. These conditions are satisfied by most of the operators in harmonic analysis, such as the Hardy-Littlewood maximal operator and Calderón-Zygmund ...
Javanshir J. Hasanov
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, 2012 In this paper we study the shape differentiability properties of a class of boundary integral operators and of potentials with weakly singular pseudo-homogeneous kernels acting between classical Sobolev spaces, with respect to smooth deformations of the ...
Costabel, Martin +1 more
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On Weighted Hadamard-Type Singular Integrals and Their Applications
Abstract and Applied Analysis, 2007 By means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.
Yong Jia Xu
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Singular integrals with angular integrability
, 2016 In this note we prove a class of sharp inequalities for singular integral operators in weighted Lebesgue spaces with angular integrability.Comment: 5 pages - updated ...
Cacciafesta, Federico, Lucà, Renato
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FEBS Letters, EarlyView.The Arabidopsis mutants hls1 hlh1 and amp1 lamp1 exhibit pleiotropic developmental phenotypes. Although the functions of the causative genes remain unclear, they act in the same genetic pathway and are thought to generate non‐cell‐autonomous signals.
Takashi Nobusawa, Makoto Kusaba
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Novel and unscrutinized immune entities of the zebrafish gut
FEBS Letters, EarlyView.Understudied cells of the zebrafish immune system include bona fide immune cells and epithelial (‐derived) cells with immune functions. Research focusing on zebrafish cells which demonstrate similarities to mammalian immune cell counterparts may help us understand the pathologies in which they are implicated. Currently available and advanced tools make
Audrey Inge Schytz Andersen‐Civil +5 more
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Multi-parameter singular integral operators and representation theorem [PDF]
, 2014 We formulate a class of singular integral operators in arbitrarily many parameters using mixed type characterizing conditions. We also prove a multi-parameter representation theorem saying that a general operator in our class can be represented as an ...
Yumeng Ou
semanticscholar +1 more source
Decrypting cancer's spatial code: from single cells to tissue niches
Molecular Oncology, EarlyView.Spatial transcriptomics maps gene activity across tissues, offering powerful insights into how cancer cells are organised, switch states and interact with their surroundings. This review outlines emerging computational, artificial intelligence (AI) and geospatial approaches to define cell states, uncover tumour niches and integrate spatial data with ...
Cenk Celik +4 more
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